Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus
High Energy Physics - Theory
2009-11-07 v2 High Energy Physics - Lattice
Abstract
We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument we show that the chiral anomaly is combined into a form of the Chern character with star products.
Cite
@article{arxiv.hep-th/0212284,
title = {Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus},
author = {Satoshi Iso and Keiichi Nagao},
journal= {arXiv preprint arXiv:hep-th/0212284},
year = {2009}
}
Comments
19 pages, uses ptptex.cls and ptp-prep.clo, references added, typo corrected, the final version to appear in Prog.Theor.Phys